Search a number
-
+
338116264232 = 234129334710139
BaseRepresentation
bin1001110101110010100…
…11001100000100101000
31012022201220101212120012
410322321103030010220
521014430230423412
6415154540551052
733266556553205
oct4727123140450
91168656355505
10338116264232
111204378a881a
1255642552488
1325b65853506
141251747acac
158bddaebc22
hex4eb94cc128

338116264232 has 64 divisors (see below), whose sum is σ = 653589518400. Its totient is φ = 163881986560.

The previous prime is 338116264193. The next prime is 338116264247. The reversal of 338116264232 is 232462611833.

It is a happy number.

It is a super-2 number, since 2×3381162642322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 338116264232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33343019 + ... + 33353157.

It is an arithmetic number, because the mean of its divisors is an integer number (10212336225).

Almost surely, 2338116264232 is an apocalyptic number.

It is an amenable number.

338116264232 is a deficient number, since it is larger than the sum of its proper divisors (315473254168).

338116264232 is a wasteful number, since it uses less digits than its factorization.

338116264232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10826 (or 10822 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The spelling of 338116264232 in words is "three hundred thirty-eight billion, one hundred sixteen million, two hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 41 82 164 293 328 347 586 694 1172 1388 2344 2776 10139 12013 14227 20278 24026 28454 40556 48052 56908 81112 96104 101671 113816 203342 406684 415699 813368 831398 1662796 2970727 3325592 3518233 4168511 5941454 7036466 8337022 11882908 14072932 16674044 23765816 28145864 33348088 121799807 144247553 243599614 288495106 487199228 576990212 974398456 1030842269 1153980424 2061684538 4123369076 8246738152 42264533029 84529066058 169058132116 338116264232